Finding the Fourth Proportional to 121,169,257,423.70, 181,753,886,135.55 and 121,169,257,423.70
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Solution
The fourth proportional to 121,169,257,423.70, 181,753,886,135.55 and 121,169,257,423.70 is: 181,753,886,135.55
Step by Step Solution
- Step 1: Write the proportion equation
121,169,257,423.70 : 181,753,886,135.55 = 121,169,257,423.70 : x - Step 2: Convert to fraction form
121,169,257,423.70/181,753,886,135.55 = 121,169,257,423.70/x - Step 3: Cross multiply
121,169,257,423.70x = 181,753,886,135.55 × 121,169,257,423.70 - Step 4: Simplify right side
121,169,257,423.70x = 22,022,983,416,916,312,326,144 - Step 5: Solve for x
x = 22,022,983,416,916,312,326,144/121,169,257,423.70 - Step 6: Final answer
x = 181,753,886,135.55
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.